İkinci mertebeden yarıdoğrusal diferensiyel içermeli optimizasyon problemi

In this thesis, second order semilinear discrete and differantial inclusions, Bolza type optimization problems are studied. It is intended to formulate the sufficient conditions in different state conditions for the solution of optimization. Firstly, definitions and theorems, such as convex set, convex functions, subdifferantial required for the thesis are given. In the chief part of the thesis, second order discrete and differantial semilinear optimization problems are studied and for the optimization, necessary and sufficient conditions are formulized. Besides, for the sake of optimization of discrete approximation problem, necessary and sufficient conditions are determined. Shifting to limit, necessary conditions of the optimal problem with differantial inclusions are attained. In the last chapter, general evaluations and suggestions are submitted.